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Simplifying 0.5x + 0.23(300) = 0.25(204) Multiply 0.23 * 300 0.5x + 69 = 0.25(204) Reorder the terms: 69 + 0.5x = 0.25(204) Multiply 0.25 * 204 69 + 0.5x = 51 Solving 69 + 0.5x = 51 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-69' to each side of the equation. 69 + -69 + 0.5x = 51 + -69 Combine like terms: 69 + -69 = 0 0 + 0.5x = 51 + -69 0.5x = 51 + -69 Combine like terms: 51 + -69 = -18 0.5x = -18 Divide each side by '0.5'. x = -36 Simplifying x = -36
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